2466889656 has 256 divisors, whose sum is σ = 8104181760. Its totient is φ = 606735360.

The previous prime is 2466889639. The next prime is 2466889693. The reversal of 2466889656 is 6569886642.

It is a super-3 number, since 3×2466889656³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2466889656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5397780 + ... + 5398236.

It is an arithmetic number, because the mean of its divisors is an integer number (31656960).

Almost surely, 2^2466889656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2466889656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052090880).

2466889656 is an abundant number, since it is smaller than the sum of its proper divisors (5637292104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2466889656 is a wasteful number, since it uses less digits than its factorization.

2466889656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 630 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 60.

The square root of 2466889656 is about 49667.7929447243. The cubic root of 2466889656 is about 1351.1904736244.

The spelling of 2466889656 in words is "two billion, four hundred sixty-six million, eight hundred eighty-nine thousand, six hundred fifty-six".